28407457382400 has 960 divisors, whose sum is σ = 105766153152000. Its totient is φ = 7567677849600.

The previous prime is 28407457382327. The next prime is 28407457382413. The reversal of 28407457382400 is 428375470482.

28407457382400 is a `hidden beast` number, since 2 + 8 + 40 + 7 + 4 + 573 + 8 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28665445905 + ... + 28665446895.

It is an arithmetic number, because the mean of its divisors is an integer number (110173076200).

Almost surely, 2^{28407457382400} is an apocalyptic number.

28407457382400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28407457382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52883076576000).

28407457382400 is an abundant number, since it is smaller than the sum of its proper divisors (77358695769600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28407457382400 is an frugal number, since it uses more digits than its factorization.

28407457382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 28407457382400 in words is "twenty-eight trillion, four hundred seven billion, four hundred fifty-seven million, three hundred eighty-two thousand, four hundred".